Find the value of f(x+h)-f(x)/h of f(x)=3x+4
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Answer:
Consider the difference quotient formula.
f
(
x
+
h
)
−
f
(
x
)
h
Find the components of the definition.
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f
(
x
+
h
)
=
3
h
+
3
x
−
4
f
(
x
)
=
3
x
−
4
Plug in the components.
f
(
x
+
h
)
−
f
(
x
)
h
=
3
h
+
3
x
−
4
−
(
3
x
−
4
)
h
Simplify.
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3
image of graph
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